What is the inverse of f(x)=(t-1)(7t+6) ?

The inverse of f(x)=(t-1)(7t+6) is (1+sqrt(28t+169))/(14),(1-sqrt(28t+169))/(14)

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inverse of f(x)=(t-1)(7t+6)

inverse

f (x) = (t - 1) (7 t + 6)

\frac{1 + 28 t + 169}{14}, \frac{1 - 28 t + 169}{14}

Solution steps

x = (t - 1) (7 t + 6)

Replace

t

with

x

t = (x - 1) (7 x + 6)

Solve for

x, t = (x - 1) (7 x + 6)

\frac{1 + 28 t + 169}{14}, \frac{1 - 28 t + 169}{14}

3154

\frac{5 + x}{2 + 3 x}

f (x) = \frac{2}{3 + 2 x}

lo g_{5} (y)

g (x) = ln (x - 1)

What is the inverse of f(x)=(t-1)(7t+6) ?
The inverse of f(x)=(t-1)(7t+6) is (1+sqrt(28t+169))/(14),(1-sqrt(28t+169))/(14)